A trapezoid has a height of 6 inches, an area of 120 inches, and one base measuring 14 inches. Find the length of the other base

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

[tex]\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }[/tex]

Gradient of given line

[tex] = \frac{1 - ( - 5)}{3 - ( - 9)} [/tex]

[tex] = \frac{1 + 5}{3 + 9} [/tex]

[tex] = \frac{6}{12} [/tex]

[tex] = \frac{1}{2} [/tex]

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }[/tex]

Midpoint of given line

[tex] = ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )[/tex]

[tex] = ( \frac{ - 6}{2} , \frac{ - 4}{2} )[/tex]

[tex] = ( - 3 , - 2)[/tex]

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

Answer:

D. 136

Step-by-step explanation:

Answer:

17/70 ([tex]\frac{17}{70}[/tex])

Answer:

95

Step-by-step explanation:

285 divided by 3 is 95

Answer:

look at the box did you see it

Answer:

I hope you are wanting the measure of QM

QM = 12.08 in

Step-by-step explanation:

Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:

QM² = MN² + QN² = 5² + 11² = 25 + 121 = 146

QM = √146 = 12.08 in

Answer:

89.25

Step-by-step explanation:

If you do 10.50

              x 8.5 you get 89.25.

Answer:

89.25

Step-by-step explanation:

10.5 x 8.5 on a calculator.

Answer:

8

Step-by-step explanation:

slope = change in y over change in x

as y goes up 8, x goes up 1

slope = 8/1 or just 8

Answer:

8 pints

Step-by-step explanation:

[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]Answer: n=54

Step-by-step explanation:

[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]

Answer:  n/3 - 3 = 13

so its 48  your welcome

Step-by-step explanation:

Answer:

X equals 6°.

Step-by-step explanation:

There is a geometry rule that states the outer angle of a triangle's interior angle is equivalent to the sum of the remaining two interior angles of the triangle. Following this rule, you can get that (6x + 8) + (5x + 8) = 82° ⇒ 11x + 16 = 82° ⇒ 11x = 66° ⇒ x = 6°.

Answer:

D(6,1) E(11,1) F(9,8)

Step-by-step explanation:

Just add 3 to the first number of each of the points since you're moving it right by 3 units (right is a positive value) and subtract 2 from the second number (since going down is a negative factor)

Answer:

3 : 12

1 : 6

The final result is 1 : 6

Answer:

2.700

Step-by-step explanation:

You have to see if it is rounding up or down and it is rounding up

Answer:

Arc MP = 118 degrees

Step-by-step explanation:

From what we have;

Arc MP = PN - MN

for PN, we can see that we have a right triangle; that means the arc measure is 180 degrees

So PN is 180

Now, for MN, we are going to use angle-arc relationship

From what we have;

MN = 2 * 31 = 62 degrees

So we have the measure of MP as;

180 -62 = 118 degrees

Answer: Function 1 has a greater rate of change than function two.

Answer:

52

Step-by-step explanation:

Answer:

y =(2/3)x + 80

Step-by-step explanation:

to get the slope.. change in y/change in x  in two points.

so use the points (0,80) and (30,100) and you get 2/3

you know the intercept, where x=0 (0,80) therefore the equation is 2/3x + 80

Answer:

true

Step-by-step explanation:

if each of the left has one right its a function if b had 12 and 3 it would not be a function so its a function because b and a has 3.

Answer:

42.4 m²

Step-by-step explanation:

The formula for the Area of this triangle = 1/2 absinθ

a = 8m

b = 12m

θ = 62°

The area of the triangle =

1/2 × 8m × 12m × sin 62

= 42.38 m²

Approximately = 42.4 m²

Answer:

The values of 'x' they make the statement true are;

B; x = 8

E; x = 125

Step-by-step explanation:

The given criteria for 'x' = "The square root of x is a number that is non-terminating and non-repeating"

The terms non-terminating and non-repeating numbers are used to describe the characteristics of the decimal part of numbers

A non-terminating number is a form of decimal number that has an infinite number of digits out of which no part is endlessly repeating. This type of decimals are part of irrational numbers that cannot be presented in a fraction format

From the options, we have;

A: x = 1, √x = √1 = 1 No fraction, 1 ∉ x

B: x = 8, √x = √8 = 2·√2  Is non-repeating, non-terminating, 8 ∈ x

C: x = 25, √x = √25 = 5 No fraction, 25 ∉ x

D; x = 81, √x = √(81) = 9 ∉ x

E; x = 125, √125 = 5·√5 Is non-repeating, non-terminating, 125 ∈ x.

Answer:

C

Step-by-step explanation:

Answer:

Answer is C

Step-by-step explanation:

I just took the test and I think you might not need this but to anybody else who needs the answer its C for sure 1,601,000.

Answer:

1327.01

Step-by-step explanation:

Answer:

[tex]4x^2-20x+25[/tex]

Step-by-step explanation:

We start with this expression.

[tex](4x - 5)^2[/tex]

When an expression inside parentheses are squared, we have to take two of the expression and multiply them together. To do this, we need to multiply each part of one expression and multiply it with every part in the other expression.

This means that [tex](4x - 5) (4x - 5)[/tex] would become...

[tex](4x)(4x) = 4x^2\\(-5)(4x) = -20x\\(-5) (-5) = 25[/tex]

Now, we simply need to put all of the terms into one expression.

[tex]4x^2-20x+25[/tex]

Answer:

6

Step-by-step explanation:

25x5=125

750 divided by 125 =6

Please use the heart to say thanks

Answer:

Part A: y = 3x

Part B: The relationship of y to x is y is 3 times as much as x.

Part C: (0,0), (1,3), (2,6), (3,9), (4,12)

Step-by-step explanation:

Part A: The product of x and 3 (3 times x) is (equals) y. So we can write this linear equation as y = 3x.

Part B: The linear equation is a representation of the relationship between y and x. Y is equivalent to three times x.

Part C: To create solutions to the linear equation, simply plug in a value of x to output a y.

x = 0 -> y = 3(0) = 0; (0,0)

x = 1 -> y = 3(1) = 3; (1,3)

x = 2 -> y = 3(2) = 6; (2,6)

x = 3 -> y = 3(3) = 9; (3,9)

x = 4 -> y = 3(4) = 12; (4, 12)

Cheers.

Answer: 8.040328

I don't know but hope it helps

Answer:

could you please put down the answer choices??? cant answer unless I know what fractions need to be picked

Step-by-step explanation:

Answer:

- 4x² - 11x + 13

Step-by-step explanation:

Given

(- x² + 9) + (- 3x² - 11x + 4) ← remove parenthesis

= - x² + 9 - 3x² - 11x + 4 ← collect like terms

= - 4x² - 11x + 13